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Finding the Fourth Proportional to 726.84, 1,003.32 and 531.90

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Solution

The fourth proportional to 726.84, 1,003.32 and 531.90 is: 734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.84 : 1,003.32 = 531.90 : x
  2. Step 2: Convert to fraction form
    726.84/1,003.32 = 531.90/x
  3. Step 3: Cross multiply
    726.84x = 1,003.32 × 531.90
  4. Step 4: Simplify right side
    726.84x = 533,665.91
  5. Step 5: Solve for x
    x = 533,665.91/726.84
  6. Step 6: Final answer
    x = 734.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.